What 2 square numbers subtract to make 8757?

What two square numbers subtract to make 8757? In other words, when you subtract one square number from another square number, the answer is 8757. What are the two square numbers?

First, note that a square number is what you get when you multiply a number by itself, which means that the square root of a square number will equal a whole number. Thus, this is what we are solving:

A² - B² = 8757

We solved the equation above and found this to be true:

101² - 38² = 8757

101² is 10201 and 38² is 1444, therefore the answer to the question "What 2 square numbers subtract to make 8757?" is 10201 and 1444 as illustrated below:

10201 - 1444 = 8757

Note that there may be more than one solution to a problem like this. Above, we found the lowest combination of square numbers that subtract to 8757. Below we list alternate solutions if available.

47961 - 39204 = 8757
241081 - 232324 = 8757
395641 - 386884 = 8757

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What 2 square numbers subtract to make 8758?
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